Statistical And Inductive Probabilities - Brossura

Leblanc, Hugues

Brossura

ISBN 10: 0486449807 ISBN 13: 9780486449807

Casa editrice: Dover Pubns, 2006

Riassunto

Among probability theorists, a bitter controversy has raged for decades between the adherents of John Maynard Keynes' A Treatise on Probability (1921) and those of Richard von Mises' "Grundlagen der Wahrscheinlichkeitsrechnung" (1919). Keynes declared that probabilities measure the extent to which a so-called evidence proposition supports another sentence. Von Mises insisted that they measure the relative frequency with which the members of a so-called reference set belong to another set. Statistical and Inductive Probabilities offers an evenhanded treatment of this issue, asserting that both statistical and inductive probabilities may be treated as sentence-theoretic measurements, and that the latter qualify as estimates of the former.
Beginning with a survey of the essentials of sentence theory and of set theory, author Hugues Leblanc examines statistical probabilities (which are allotted to sets by von Mises' followers), showing that statistical probabilities may be passed on to sentences, and thereby qualify as truth-values. Leblanc concludes with an exploration of inductive probabilities (which Keynes' followers allot to sentences), demonstrating their reinterpretation as estimates of truth-values.
Each chapter is preceded by a summary of its contents. Illustrations accompany most definitions and theorems, and footnotes elucidate technicalities and bibliographical references.

Su questo libro

Product Description

This even-handed treatment addresses the decades-old dispute among probability theorists, asserting that both statistical and inductive probabilities may be treated as sentence-theoretic measurements, and that the latter qualify as estimates of the former. Discusses sentence theory, set theory, statistical probabilities, inductive probabilities, more. Illustrations and footnotes elucidate definitions, theorems, and technicalities. 1962 edition.

Contenuti

1. The Languages L 2. Statistical Probabilities: Part One 3. Statistical Probabilities: Part Two 4. Inductive Probabilities List of Symbols Bibliographical References Index of Authors Index of Matters

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 0486449807
• ISBN 13: 9780486449807
• Rilegatura: Copertina flessibile
• Numero di pagine: 148
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia